Diana is 40% heavier than Ryan. Gem is 30% lighter than Ryan. Diana is 21 kg heavier than Gem. What is Ryan's mass?
| Diana |
Ryan |
Gem |
| 140% |
100% |
|
| |
100% |
70% |
| 14 u |
10 u |
7 u |
Diana's mass compared to Ryan's mass in percent
= 100% + 40%
= 140%
Gem's mass compared to Ryan's mass in percent
= 100% - 30%
= 70%
140% =
140100 =
141070% =
70100 =
710Ryan's mass is the repeated identity. Make Ryan's mass the same.
Ryan's mass = 10 u
Mass that Diana has more than Gem
= 14 u - 7 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Ryan's mass
= 10 u
= 10 x 3
= 30 kg
Answer(s): 30 kg
